1) Tests of the 2018 Tesla S electric car produced a mean of 243.6 miles per charge with a standard deviation of 29.65 miles, when in long range mode.

a) What distance will 85% of owners average above?

b) What percent of cars will average between 220 and 255 miles per charge?

c) What percent of cars will on average be able to make the 200 mile trip from Marshalltown to Omaha on a charge?

2) An LED light bulb produces the same light as a 75 watt incandecent bulb, but only uses an average of 7.802 watts, with a standard deviation of 0.075 watts.

a) If the bulbs are sold in a 6 pack. What is the probability that the average wattage of the bulbs in a 6 pack is under 7.63 watts?

b) What is the wattage that only 5% of bulbs will use below?

c) What percent of the new bulbs will use over 8 watts?

3) A community is installing wind turbines. One of them generates a mean of 8042 watts of power, with a standard deviation of 396.5.

a) What is the probability that one turbine will average less than 8143.5 watts?

b) What is the number of watts that one turbine will produce more than 75% of the time?

c) What is the probability that a set of 10 turbines produce a total of less than 80570 watts?